1253336225624 has 64 divisors (see below), whose sum is σ = 2706923197440. Its totient is φ = 532905684480.

The previous prime is 1253336225623. The next prime is 1253336225653. The reversal of 1253336225624 is 4265226333521.

It is a Cunningham number, because it is equal to 1119525²-1.

It is a super-2 number, since 2×1253336225624² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1253336225623) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31326737 + ... + 31366719.

It is an arithmetic number, because the mean of its divisors is an integer number (42295674960).

Almost surely, 2^{1253336225624} is an apocalyptic number.

1253336225624 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1253336225624 is an abundant number, since it is smaller than the sum of its proper divisors (1453586971816).

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

1253336225624 is a wasteful number, since it uses less digits than its factorization.

1253336225624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44400 (or 44396 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 44.

The spelling of 1253336225624 in words is "one trillion, two hundred fifty-three billion, three hundred thirty-six million, two hundred twenty-five thousand, six hundred twenty-four".