61027452000 has 192 divisors, whose sum is σ = 222140318400. Its totient is φ = 16273958400.

The previous prime is 61027451993. The next prime is 61027452007. The reversal of 61027452000 is 25472016.

61027452000 is a `hidden beast` number, since 610 + 2 + 7 + 45 + 2 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (61027451993) and next prime (61027452007).

It is a super-2 number, since 2×61027452000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61027452007) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 174535 + ... + 390534.

It is an arithmetic number, because the mean of its divisors is an integer number (1156980825).

Almost surely, 2^61027452000 is an apocalyptic number.

61027452000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61027452000 is an abundant number, since it is smaller than the sum of its proper divisors (161112866400).

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

61027452000 is a wasteful number, since it uses less digits than its factorization.

61027452000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565103 (or 565079 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 61027452000 in words is "sixty-one billion, twenty-seven million, four hundred fifty-two thousand".