61152500 has 60 divisors (see below), whose sum is σ = 136259508. Its totient is φ = 24000000.

The previous prime is 61152467. The next prime is 61152521. The reversal of 61152500 is 525116.

It can be written as a sum of positive squares in 10 ways, for example, as 44863204 + 16289296 = 6698^2 + 4036^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 152300 + ... + 152700.

Almost surely, 2^61152500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61152500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68129754).

61152500 is an abundant number, since it is smaller than the sum of its proper divisors (75107008).

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

61152500 is a wasteful number, since it uses less digits than its factorization.

61152500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The square root of 61152500 is about 7820.0063938593. The cubic root of 61152500 is about 393.9774867533.

Adding to 61152500 its reverse (525116), we get a palindrome (61677616).

It can be divided in two parts, 61 and 152500, that multiplied together give a square (9302500 = 3050²).

The spelling of 61152500 in words is "sixty-one million, one hundred fifty-two thousand, five hundred".