263613042 has 120 divisors (see below), whose sum is σ = 749841840. Its totient is φ = 68448240.

The previous prime is 263613037. The next prime is 263613047. The reversal of 263613042 is 240316362.

263613042 is a `hidden beast` number, since 2 + 6 + 3 + 613 + 0 + 42 = 666.

It is an interprime number because it is at equal distance from previous prime (263613037) and next prime (263613047).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 263612997 and 263613015.

It is not an unprimeable number, because it can be changed into a prime (263613047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 85809 + ... + 88827.

It is an arithmetic number, because the mean of its divisors is an integer number (6248682).

Almost surely, 2^263613042 is an apocalyptic number.

263613042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 263613042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374920920).

263613042 is an abundant number, since it is smaller than the sum of its proper divisors (486228798).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

263613042 is a wasteful number, since it uses less digits than its factorization.

263613042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3058 (or 3042 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 263613042 is about 16236.1646333116. The cubic root of 263613042 is about 641.1932831749.

It can be divided in two parts, 26361 and 3042, that added together give a triangular number (29403 = T₂₄₂).

The spelling of 263613042 in words is "two hundred sixty-three million, six hundred thirteen thousand, forty-two".