2601075456225 has 81 divisors (see below), whose sum is σ = 4722003487929. Its totient is φ = 1368673862400.

The previous prime is 2601075456181. The next prime is 2601075456263. The reversal of 2601075456225 is 5226545701062.

The square root of 2601075456225 is 1612785.

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

2601075456225 is a `hidden beast` number, since 2 + 6 + 0 + 10 + 7 + 5 + 4 + 5 + 622 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 603183669201 + 1997891787024 = 776649^2 + 1413468^2 .

It is not a de Polignac number, because 2601075456225 - 2²³ = 2601067067617 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1911149545 + ... + 1911150905.

Almost surely, 2^{2601075456225} is an apocalyptic number.

2601075456225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2601075456225 is the 1612785-th square number.

2601075456225 is the 806393-rd centered octagonal number.

It is an amenable number.

2601075456225 is a deficient number, since it is larger than the sum of its proper divisors (2120928031704).

2601075456225 is an frugal number, since it uses more digits than its factorization.

2601075456225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2896 (or 1448 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 2601075456225 in words is "two trillion, six hundred one billion, seventy-five million, four hundred fifty-six thousand, two hundred twenty-five".