1252142412521 has 48 divisors (see below), whose sum is σ = 1709476876800. Its totient is φ = 892378270080.

The previous prime is 1252142412487. The next prime is 1252142412523.

1252142412521 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-1252142412521 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1252142412523) 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, 678560 + ... + 1721838.

It is an arithmetic number, because the mean of its divisors is an integer number (35614101600).

Almost surely, 2^{1252142412521} is an apocalyptic number.

1252142412521 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1252142412521 is a deficient number, since it is larger than the sum of its proper divisors (457334464279).

1252142412521 is a wasteful number, since it uses less digits than its factorization.

1252142412521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1043430 (or 1043419 counting only the distinct ones).

The product of its digits is 12800, while the sum is 32.

The spelling of 1252142412521 in words is "one trillion, two hundred fifty-two billion, one hundred forty-two million, four hundred twelve thousand, five hundred twenty-one".