25122567001 has 9 divisors (see below), whose sum is σ = 29225501301. Its totient is φ = 21532677852.

The previous prime is 25122566999. The next prime is 25122567031. The reversal of 25122567001 is 10076522152.

The square root of 25122567001 is 158501.

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

It is not a de Polignac number, because 25122567001 - 2¹ = 25122566999 is a prime.

It is a super-2 number, since 2×25122567001² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (25122567031) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1098186 + ... + 1120828.

Almost surely, 2^25122567001 is an apocalyptic number.

25122567001 is the 158501-st square number.

25122567001 is the 79251-st centered octagonal number.

It is an amenable number.

25122567001 is a deficient number, since it is larger than the sum of its proper divisors (4102934300).

25122567001 is an frugal number, since it uses more digits than its factorization.

25122567001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45300 (or 22650 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 31.

The spelling of 25122567001 in words is "twenty-five billion, one hundred twenty-two million, five hundred sixty-seven thousand, one".