61251625 has 32 divisors (see below), whose sum is σ = 80664480. Its totient is φ = 46368000.

The previous prime is 61251607. The next prime is 61251643. The reversal of 61251625 is 52615216.

It is an interprime number because it is at equal distance from previous prime (61251607) and next prime (61251643).

It can be written as a sum of positive squares in 16 ways, for example, as 60590656 + 660969 = 7784^2 + 813^2 .

It is not a de Polignac number, because 61251625 - 2¹¹ = 61249577 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 61251593 and 61251602.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 220987 + ... + 221263.

It is an arithmetic number, because the mean of its divisors is an integer number (2520765).

Almost surely, 2^61251625 is an apocalyptic number.

It is an amenable number.

61251625 is a deficient number, since it is larger than the sum of its proper divisors (19412855).

61251625 is a wasteful number, since it uses less digits than its factorization.

61251625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 372 counting only the distinct ones).

The product of its digits is 3600, while the sum is 28.

The square root of 61251625 is about 7826.3417380025. The cubic root of 61251625 is about 394.1902441298.

It can be divided in two parts, 6125 and 1625, that added together give a triangular number (7750 = T₁₂₄).

The spelling of 61251625 in words is "sixty-one million, two hundred fifty-one thousand, six hundred twenty-five".