2583011480625 has 105 divisors (see below), whose sum is σ = 4841416265719. Its totient is φ = 1377027540000.

The previous prime is 2583011480603. The next prime is 2583011480633. The reversal of 2583011480625 is 5260841103852.

The square root of 2583011480625 is 1607175.

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

2583011480625 is a `hidden beast` number, since 2 + 5 + 8 + 3 + 0 + 1 + 14 + 8 + 0 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 2418898988961 + 164112491664 = 1555281^2 + 405108^2 .

It is not a de Polignac number, because 2583011480625 - 2²¹ = 2583009383473 is a prime.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 1084841935 + ... + 1084844315.

Almost surely, 2^{2583011480625} is an apocalyptic number.

2583011480625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2583011480625 is the 1607175-th square number.

2583011480625 is the 803588-th centered octagonal number.

It is an amenable number.

2583011480625 is a deficient number, since it is larger than the sum of its proper divisors (2258404785094).

2583011480625 is an frugal number, since it uses more digits than its factorization.

2583011480625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4800 (or 2389 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 2583011480625 in words is "two trillion, five hundred eighty-three billion, eleven million, four hundred eighty thousand, six hundred twenty-five".