2515122801 has 27 divisors (see below), whose sum is σ = 3699558369. Its totient is φ = 1646557632.

The previous prime is 2515122793. The next prime is 2515122803. The reversal of 2515122801 is 1082215152.

It is a happy number.

The square root of 2515122801 is 50151.

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 774230625 + 1740892176 = 27825^2 + 41724^2 .

It is not a de Polignac number, because 2515122801 - 2³ = 2515122793 is a prime.

It is a super-2 number, since 2×2515122801² = 12651685408220171202, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2515122803) 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, 10982955 + ... + 10983183.

Almost surely, 2^2515122801 is an apocalyptic number.

2515122801 is the 50151-st square number.

2515122801 is the 25076-th centered octagonal number.

It is an amenable number.

2515122801 is a deficient number, since it is larger than the sum of its proper divisors (1184435568).

2515122801 is an frugal number, since it uses more digits than its factorization.

2515122801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The cubic root of 2515122801 is about 1359.9399485090.

Multiplying 2515122801 by its product of nonzero digits (1600), we get a square (4024196481600 = 2006040²).

Adding to 2515122801 its reverse (1082215152), we get a palindrome (3597337953).

It can be divided in two parts, 2515 and 122801, that added together give a square (125316 = 354²).

The spelling of 2515122801 in words is "two billion, five hundred fifteen million, one hundred twenty-two thousand, eight hundred one".