1351913472 has 468 divisors, whose sum is σ = 4988515584. Its totient is φ = 345047040.

The previous prime is 1351913467. The next prime is 1351913473. The reversal of 1351913472 is 2743191531.

1351913472 is a `hidden beast` number, since 1 + 3 + 519 + 134 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (468).

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (22680) is a multiple of the sum of its prime divisors (56).

It is not an unprimeable number, because it can be changed into a prime (1351913473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 43610097 + ... + 43610127.

Almost surely, 2^1351913472 is an apocalyptic number.

1351913472 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 1351913472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2494257792).

1351913472 is an abundant number, since it is smaller than the sum of its proper divisors (3636602112).

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

1351913472 is a wasteful number, since it uses less digits than its factorization.

1351913472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 56 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 1351913472 is about 36768.3759771900. The cubic root of 1351913472 is about 1105.7313727933.

The spelling of 1351913472 in words is "one billion, three hundred fifty-one million, nine hundred thirteen thousand, four hundred seventy-two".