61352500 has 120 divisors (see below), whose sum is σ = 154300608. Its totient is φ = 21120000.

The previous prime is 61352479. The next prime is 61352513. The reversal of 61352500 is 525316.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

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 39 ways as a sum of consecutive naturals, for example, 632452 + ... + 632548.

Almost surely, 2^61352500 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 61352500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77150304).

61352500 is an abundant number, since it is smaller than the sum of its proper divisors (92948108).

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

61352500 is a wasteful number, since it uses less digits than its factorization.

61352500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 61352500 is about 7832.7836686583. The cubic root of 61352500 is about 394.4065221023.

Adding to 61352500 its reverse (525316), we get a palindrome (61877816).

The spelling of 61352500 in words is "sixty-one million, three hundred fifty-two thousand, five hundred".