61541332502100 has 144 divisors (see below), whose sum is σ = 194256133436736. Its totient is φ = 14918395904000.

The previous prime is 61541332502057. The next prime is 61541332502183. The reversal of 61541332502100 is 120523314516.

It is a super-2 number, since 2×61541332502100² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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, 70107910 + ... + 70980290.

It is an arithmetic number, because the mean of its divisors is an integer number (1349000926644).

Almost surely, 2^{61541332502100} is an apocalyptic number.

61541332502100 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61541332502100 is an abundant number, since it is smaller than the sum of its proper divisors (132714800934636).

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

61541332502100 is a wasteful number, since it uses less digits than its factorization.

61541332502100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 893786 (or 893779 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

Adding to 61541332502100 its reverse (120523314516), we get a palindrome (61661855816616).

The spelling of 61541332502100 in words is "sixty-one trillion, five hundred forty-one billion, three hundred thirty-two million, five hundred two thousand, one hundred".