1252755725121 has 24 divisors (see below), whose sum is σ = 1811030406120. Its totient is φ = 834481080576.

The previous prime is 1252755725113. The next prime is 1252755725141. The reversal of 1252755725121 is 1215275572521.

1252755725121 is a `hidden beast` number, since 1 + 2 + 5 + 2 + 7 + 5 + 572 + 51 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4371854400 + 1248383870721 = 66120^2 + 1117311^2 .

It is not a de Polignac number, because 1252755725121 - 2³ = 1252755725113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1252755725141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63916095 + ... + 63935691.

It is an arithmetic number, because the mean of its divisors is an integer number (75459600255).

Almost surely, 2^{1252755725121} is an apocalyptic number.

It is an amenable number.

1252755725121 is a deficient number, since it is larger than the sum of its proper divisors (558274680999).

1252755725121 is a wasteful number, since it uses less digits than its factorization.

1252755725121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25105 (or 25102 counting only the distinct ones).

The product of its digits is 490000, while the sum is 45.

The spelling of 1252755725121 in words is "one trillion, two hundred fifty-two billion, seven hundred fifty-five million, seven hundred twenty-five thousand, one hundred twenty-one".