1345625520121 has 27 divisors (see below), whose sum is σ = 1406894699469. Its totient is φ = 1286999724192.

The previous prime is 1345625520101. The next prime is 1345625520139. The reversal of 1345625520121 is 1210255265431.

The square root of 1345625520121 is 1160011.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 388484191225 + 957141328896 = 623285^2 + 978336^2 .

It is not a de Polignac number, because 1345625520121 - 2⁵ = 1345625520089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1345625520101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2643664815 + ... + 2643665323.

Almost surely, 2^{1345625520121} is an apocalyptic number.

1345625520121 is the 1160011-st square number.

1345625520121 is the 580006-th centered octagonal number.

It is an amenable number.

1345625520121 is a deficient number, since it is larger than the sum of its proper divisors (61269179348).

1345625520121 is an frugal number, since it uses more digits than its factorization.

1345625520121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1210 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 37.

The spelling of 1345625520121 in words is "one trillion, three hundred forty-five billion, six hundred twenty-five million, five hundred twenty thousand, one hundred twenty-one".