153402461010253 has 48 divisors (see below), whose sum is σ = 194046143214000. Its totient is φ = 120192539378688.

The previous prime is 153402461010221. The next prime is 153402461010427. The reversal of 153402461010253 is 352010164204351.

It can be written as a sum of positive squares in 8 ways, for example, as 191859768324 + 153210601241929 = 438018^2 + 12377827^2 .

It is not a de Polignac number, because 153402461010253 - 2⁵ = 153402461010221 is a prime.

It is a super-2 number, since 2×153402461010253² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153402461010553) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123598153 + ... + 124833121.

It is an arithmetic number, because the mean of its divisors is an integer number (4042627983625).

Almost surely, 2^{153402461010253} is an apocalyptic number.

153402461010253 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

153402461010253 is a deficient number, since it is larger than the sum of its proper divisors (40643682203747).

153402461010253 is a wasteful number, since it uses less digits than its factorization.

153402461010253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1236894 (or 1236887 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The spelling of 153402461010253 in words is "one hundred fifty-three trillion, four hundred two billion, four hundred sixty-one million, ten thousand, two hundred fifty-three".