61131000 has 256 divisors, whose sum is σ = 226437120. Its totient is φ = 13440000.

The previous prime is 61130989. The next prime is 61131011. The reversal of 61131000 is 13116.

61131000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (61130989) and next prime (61131011).

It is a super-2 number, since 2×61131000² = 7473998322000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 860965 + ... + 861035.

It is an arithmetic number, because the mean of its divisors is an integer number (884520).

Almost surely, 2^61131000 is an apocalyptic number.

61131000 is a gapful number since it is divisible by the number (60) 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 61131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113218560).

61131000 is an abundant number, since it is smaller than the sum of its proper divisors (165306120).

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

61131000 is a wasteful number, since it uses less digits than its factorization.

61131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 61131000 is about 7818.6315938277. The cubic root of 61131000 is about 393.9313097976.

Adding to 61131000 its reverse (13116), we get a palindrome (61144116).

The spelling of 61131000 in words is "sixty-one million, one hundred thirty-one thousand".