253061016 has 64 divisors (see below), whose sum is σ = 690009600. Its totient is φ = 76871808.

The previous prime is 253060993. The next prime is 253061027. The reversal of 253061016 is 610160352.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19515 + ... + 29781.

It is an arithmetic number, because the mean of its divisors is an integer number (10781400).

Almost surely, 2^253061016 is an apocalyptic number.

253061016 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253061016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345004800).

253061016 is an abundant number, since it is smaller than the sum of its proper divisors (436948584).

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

253061016 is a wasteful number, since it uses less digits than its factorization.

253061016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10368 (or 10364 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 253061016 is about 15907.8916264853. The cubic root of 253061016 is about 632.5211945384.

It can be divided in two parts, 2530 and 61016, that added together give a triangular number (63546 = T₃₅₆).

The spelling of 253061016 in words is "two hundred fifty-three million, sixty-one thousand, sixteen".