1252046864601 has 45 divisors (see below), whose sum is σ = 1960104336281. Its totient is φ = 770141266128.

The previous prime is 1252046864573. The next prime is 1252046864617. The reversal of 1252046864601 is 1064686402521.

It is a happy number.

The square root of 1252046864601 is 1118949.

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

1252046864601 is a `hidden beast` number, since 1 + 2 + 520 + 4 + 6 + 8 + 64 + 60 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 620784834201 + 631262030400 = 787899^2 + 794520^2 .

It is not a de Polignac number, because 1252046864601 - 2⁵ = 1252046864569 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1252046864701) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 567306040 + ... + 567308246.

Almost surely, 2^{1252046864601} is an apocalyptic number.

1252046864601 is the 1118949-th square number.

1252046864601 is the 559475-th centered octagonal number.

It is an amenable number.

1252046864601 is a deficient number, since it is larger than the sum of its proper divisors (708057471680).

1252046864601 is an frugal number, since it uses more digits than its factorization.

1252046864601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4472 (or 2223 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 1252046864601 in words is "one trillion, two hundred fifty-two billion, forty-six million, eight hundred sixty-four thousand, six hundred one".