253544125653 has 48 divisors (see below), whose sum is σ = 465285323776. Its totient is φ = 129423432960.

The previous prime is 253544125649. The next prime is 253544125657. The reversal of 253544125653 is 356521445352.

253544125653 is a `hidden beast` number, since 2 + 5 + 3 + 544 + 1 + 2 + 56 + 53 = 666.

It is an interprime number because it is at equal distance from previous prime (253544125649) and next prime (253544125657).

It is not a de Polignac number, because 253544125653 - 2² = 253544125649 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 253544125599 and 253544125608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253544125657) 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 47 ways as a sum of consecutive naturals, for example, 4967800 + ... + 5018577.

Almost surely, 2^253544125653 is an apocalyptic number.

It is an amenable number.

253544125653 is a deficient number, since it is larger than the sum of its proper divisors (211741198123).

253544125653 is a wasteful number, since it uses less digits than its factorization.

253544125653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9986434 (or 9986431 counting only the distinct ones).

The product of its digits is 2160000, while the sum is 45.

The spelling of 253544125653 in words is "two hundred fifty-three billion, five hundred forty-four million, one hundred twenty-five thousand, six hundred fifty-three".