1525767379812 has 288 divisors, whose sum is σ = 4394530143360. Its totient is φ = 457320314880.

The previous prime is 1525767379783. The next prime is 1525767379819. The reversal of 1525767379812 is 2189737675251.

It is a happy number.

1525767379812 is a `hidden beast` number, since 1 + 5 + 257 + 6 + 7 + 379 + 8 + 1 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1525767379812.

It is not an unprimeable number, because it can be changed into a prime (1525767379819) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 708669328 + ... + 708671480.

It is an arithmetic number, because the mean of its divisors is an integer number (15258785220).

Almost surely, 2^{1525767379812} is an apocalyptic number.

1525767379812 is a gapful number since it is divisible by the number (12) 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 1525767379812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2197265071680).

1525767379812 is an abundant number, since it is smaller than the sum of its proper divisors (2868762763548).

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

1525767379812 is a wasteful number, since it uses less digits than its factorization.

1525767379812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3180 (or 3159 counting only the distinct ones).

The product of its digits is 44452800, while the sum is 63.

The spelling of 1525767379812 in words is "one trillion, five hundred twenty-five billion, seven hundred sixty-seven million, three hundred seventy-nine thousand, eight hundred twelve".