1513372772340 has 384 divisors, whose sum is σ = 5680903011840. Its totient is φ = 329503334400.

The previous prime is 1513372772287. The next prime is 1513372772357. The reversal of 1513372772340 is 432772733151.

1513372772340 is a `hidden beast` number, since 1 + 5 + 1 + 3 + 37 + 277 + 2 + 340 = 666.

It is a super-3 number, since 3×1513372772340³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2592300 + ... + 3121980.

It is an arithmetic number, because the mean of its divisors is an integer number (14794018260).

Almost surely, 2^{1513372772340} is an apocalyptic number.

1513372772340 is a gapful number since it is divisible by the number (10) 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 1513372772340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2840451505920).

1513372772340 is an abundant number, since it is smaller than the sum of its proper divisors (4167530239500).

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

1513372772340 is a wasteful number, since it uses less digits than its factorization.

1513372772340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529760 (or 529752 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 45.

The spelling of 1513372772340 in words is "one trillion, five hundred thirteen billion, three hundred seventy-two million, seven hundred seventy-two thousand, three hundred forty".