2506552353 has 6 divisors (see below), whose sum is σ = 3620575634. Its totient is φ = 1671034896.

The previous prime is 2506552319. The next prime is 2506552357. The reversal of 2506552353 is 3532556052.

2506552353 is a `hidden beast` number, since 2 + 50 + 6 + 552 + 3 + 53 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2426843169 + 79709184 = 49263^2 + 8928^2 .

It is not a de Polignac number, because 2506552353 - 2¹⁰ = 2506551329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2506552357) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 139252900 + ... + 139252917.

Almost surely, 2^2506552353 is an apocalyptic number.

It is an amenable number.

2506552353 is a deficient number, since it is larger than the sum of its proper divisors (1114023281).

2506552353 is a wasteful number, since it uses less digits than its factorization.

2506552353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278505823 (or 278505820 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 36.

The square root of 2506552353 is about 50065.4806528410. The cubic root of 2506552353 is about 1358.3934953953.

The spelling of 2506552353 in words is "two billion, five hundred six million, five hundred fifty-two thousand, three hundred fifty-three".