1251531535040 has 112 divisors (see below), whose sum is σ = 3004128246240. Its totient is φ = 496597770240.

The previous prime is 1251531534893. The next prime is 1251531535073. The reversal of 1251531535040 is 405351351521.

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, 160675466 + ... + 160683254.

Almost surely, 2^{1251531535040} is an apocalyptic number.

1251531535040 is a gapful number since it is divisible by the number (10) 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 1251531535040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1502064123120).

1251531535040 is an abundant number, since it is smaller than the sum of its proper divisors (1752596711200).

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

1251531535040 is a wasteful number, since it uses less digits than its factorization.

1251531535040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11770 (or 11760 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 35.

Adding to 1251531535040 its reverse (405351351521), we get a palindrome (1656882886561).

The spelling of 1251531535040 in words is "one trillion, two hundred fifty-one billion, five hundred thirty-one million, five hundred thirty-five thousand, forty".