2583361053 has 128 divisors (see below), whose sum is σ = 4895421440. Its totient is φ = 1310100480.

The previous prime is 2583361051. The next prime is 2583361103. The reversal of 2583361053 is 3501633852.

2583361053 is a `hidden beast` number, since 2 + 5 + 8 + 33 + 610 + 5 + 3 = 666.

It is not a de Polignac number, because 2583361053 - 2¹ = 2583361051 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2583360999 and 2583361017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2583361051) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14272623 + ... + 14272803.

It is an arithmetic number, because the mean of its divisors is an integer number (38245480).

Almost surely, 2^2583361053 is an apocalyptic number.

It is an amenable number.

2583361053 is a deficient number, since it is larger than the sum of its proper divisors (2312060387).

2583361053 is a wasteful number, since it uses less digits than its factorization.

2583361053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 2583361053 is about 50826.7749616282. The cubic root of 2583361053 is about 1372.1292928174.

The spelling of 2583361053 in words is "two billion, five hundred eighty-three million, three hundred sixty-one thousand, fifty-three".