253115040 has 96 divisors (see below), whose sum is σ = 844240320. Its totient is φ = 63524864.

The previous prime is 253115029. The next prime is 253115041. The reversal of 253115040 is 40511352.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 253114998 and 253115016.

It is not an unprimeable number, because it can be changed into a prime (253115041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7350 + ... + 23669.

It is an arithmetic number, because the mean of its divisors is an integer number (8794170).

Almost surely, 2^253115040 is an apocalyptic number.

253115040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253115040 is an abundant number, since it is smaller than the sum of its proper divisors (591125280).

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

253115040 is a wasteful number, since it uses less digits than its factorization.

253115040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31054 (or 31046 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 253115040 is about 15909.5895610163. The cubic root of 253115040 is about 632.5662019891.

Adding to 253115040 its reverse (40511352), we get a palindrome (293626392).

It can be divided in two parts, 2531 and 15040, that added together give a palindrome (17571).

The spelling of 253115040 in words is "two hundred fifty-three million, one hundred fifteen thousand, forty".