61253200 has 30 divisors (see below), whose sum is σ = 147161774. Its totient is φ = 24501120.

The previous prime is 61253177. The next prime is 61253201. The reversal of 61253200 is 235216.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 13808656 + 47444544 = 3716^2 + 6888^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61253201) 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, 76167 + ... + 76966.

Almost surely, 2^61253200 is an apocalyptic number.

It is an amenable number.

61253200 is an abundant number, since it is smaller than the sum of its proper divisors (85908574).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

61253200 is a wasteful number, since it uses less digits than its factorization.

61253200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153151 (or 153140 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 61253200 is about 7826.4423590799. The cubic root of 61253200 is about 394.1936227847.

Adding to 61253200 its reverse (235216), we get a palindrome (61488416).

The spelling of 61253200 in words is "sixty-one million, two hundred fifty-three thousand, two hundred".