2506272100641 has 27 divisors (see below), whose sum is σ = 3630704295699. Its totient is φ = 1666000550592.

The previous prime is 2506272100601. The next prime is 2506272100649. The reversal of 2506272100641 is 1460012726052.

It is a happy number.

The square root of 2506272100641 is 1583121.

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

2506272100641 is a `hidden beast` number, since 2 + 5 + 0 + 6 + 2 + 7 + 2 + 1 + 0 + 0 + 641 = 666.

It can be written as a sum of positive squares in only one way, i.e., 769253539041 + 1737018561600 = 877071^2 + 1317960^2 .

It is not a de Polignac number, because 2506272100641 - 2¹¹ = 2506272098593 is a prime.

It is a super-2 number, since 2×2506272100641² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2506272100596 and 2506272100605.

It is not an unprimeable number, because it can be changed into a prime (2506272100649) 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, 2483916345 + ... + 2483917353.

Almost surely, 2^{2506272100641} is an apocalyptic number.

2506272100641 is the 1583121-st square number.

2506272100641 is the 791561-st centered octagonal number.

It is an amenable number.

2506272100641 is a deficient number, since it is larger than the sum of its proper divisors (1124432195058).

2506272100641 is an frugal number, since it uses more digits than its factorization.

2506272100641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3070 (or 1535 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Multiplying 2506272100641 by its sum of digits (36), we get a square (90225795623076 = 9498726²).

Adding to 2506272100641 its reverse (1460012726052), we get a palindrome (3966284826693).

The spelling of 2506272100641 in words is "two trillion, five hundred six billion, two hundred seventy-two million, one hundred thousand, six hundred forty-one".