1010511150516 has 96 divisors (see below), whose sum is σ = 2997578465280. Its totient is φ = 288382734432.

The previous prime is 1010511150487. The next prime is 1010511150527. The reversal of 1010511150516 is 6150511150101.

1010511150516 is a `hidden beast` number, since 101 + 0 + 51 + 1 + 1 + 505 + 1 + 6 = 666.

It is a super-2 number, since 2×1010511150516² (a number of 25 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1010511150516.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121996 + ... + 1426851.

It is an arithmetic number, because the mean of its divisors is an integer number (31224775680).

Almost surely, 2^{1010511150516} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010511150516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1498789232640).

1010511150516 is an abundant number, since it is smaller than the sum of its proper divisors (1987067314764).

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

1010511150516 is a wasteful number, since it uses less digits than its factorization.

1010511150516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1549730 (or 1549722 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 27.

The spelling of 1010511150516 in words is "one trillion, ten billion, five hundred eleven million, one hundred fifty thousand, five hundred sixteen".