61952513 has 6 divisors (see below), whose sum is σ = 72067266. Its totient is φ = 53102112.

The previous prime is 61952507. The next prime is 61952519. The reversal of 61952513 is 31525916.

It is an interprime number because it is at equal distance from previous prime (61952507) and next prime (61952519).

It can be written as a sum of positive squares in only one way, i.e., 61905424 + 47089 = 7868^2 + 217^2 .

It is not a de Polignac number, because 61952513 - 2²⁰ = 60903937 is a prime.

It is a super-2 number, since 2×61952513² = 7676227734030338, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 61952513.

It is not an unprimeable number, because it can be changed into a prime (61952519) 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, 632120 + ... + 632217.

It is an arithmetic number, because the mean of its divisors is an integer number (12011211).

Almost surely, 2^61952513 is an apocalyptic number.

It is an amenable number.

61952513 is a deficient number, since it is larger than the sum of its proper divisors (10114753).

61952513 is a wasteful number, since it uses less digits than its factorization.

61952513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1264351 (or 1264344 counting only the distinct ones).

The product of its digits is 8100, while the sum is 32.

The square root of 61952513 is about 7870.9918688816. The cubic root of 61952513 is about 395.6880876327.

The spelling of 61952513 in words is "sixty-one million, nine hundred fifty-two thousand, five hundred thirteen".