51011151100 has 216 divisors, whose sum is σ = 139753273968. Its totient is φ = 16018329600.

The previous prime is 51011151073. The next prime is 51011151101. The reversal of 51011151100 is 115111015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51011151101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8341644 + ... + 8347756.

It is an arithmetic number, because the mean of its divisors is an integer number (647005898).

Almost surely, 2^51011151100 is an apocalyptic number.

51011151100 is a gapful number since it is divisible by the number (50) 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 51011151100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69876636984).

51011151100 is an abundant number, since it is smaller than the sum of its proper divisors (88742122868).

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

51011151100 is a wasteful number, since it uses less digits than its factorization.

51011151100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6285 (or 6271 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 16.

Adding to 51011151100 its reverse (115111015), we get a palindrome (51126262115).

The spelling of 51011151100 in words is "fifty-one billion, eleven million, one hundred fifty-one thousand, one hundred".