61531652 has 144 divisors (see below), whose sum is σ = 150151680. Its totient is φ = 21772800.

The previous prime is 61531637. The next prime is 61531669. The reversal of 61531652 is 25613516.

It is a super-2 number, since 2×61531652² = 7572288395698208, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1500752 + ... + 1500792.

It is an arithmetic number, because the mean of its divisors is an integer number (1042720).

Almost surely, 2^61531652 is an apocalyptic number.

61531652 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61531652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75075840).

61531652 is an abundant number, since it is smaller than the sum of its proper divisors (88620028).

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

61531652 is a wasteful number, since it uses less digits than its factorization.

61531652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 113 counting only the distinct ones).

The product of its digits is 5400, while the sum is 29.

The square root of 61531652 is about 7844.2113689013. The cubic root of 61531652 is about 394.7900438446.

The spelling of 61531652 in words is "sixty-one million, five hundred thirty-one thousand, six hundred fifty-two".