2552101461 has 48 divisors (see below), whose sum is σ = 4601076480. Its totient is φ = 1327173120.

The previous prime is 2552101441. The next prime is 2552101481. The reversal of 2552101461 is 1641012552.

2552101461 is a `hidden beast` number, since 2 + 552 + 101 + 4 + 6 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (2552101441) and next prime (2552101481).

It is not a de Polignac number, because 2552101461 - 2¹¹ = 2552099413 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2552101441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36205 + ... + 80093.

It is an arithmetic number, because the mean of its divisors is an integer number (95855760).

Almost surely, 2^2552101461 is an apocalyptic number.

2552101461 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2552101461 is a deficient number, since it is larger than the sum of its proper divisors (2048975019).

2552101461 is a wasteful number, since it uses less digits than its factorization.

2552101461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43986 (or 43983 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 2552101461 is about 50518.3279711433. The cubic root of 2552101461 is about 1366.5724004450.

The spelling of 2552101461 in words is "two billion, five hundred fifty-two million, one hundred one thousand, four hundred sixty-one".