1351616000 has 240 divisors, whose sum is σ = 3929694912. Its totient is φ = 462336000.

The previous prime is 1351615961. The next prime is 1351616011. The reversal of 1351616000 is 6161531.

It is a happy number.

It is a super-2 number, since 2×1351616000² = 3653731622912000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3135785 + ... + 3136215.

Almost surely, 2^1351616000 is an apocalyptic number.

1351616000 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 1351616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1964847456).

1351616000 is an abundant number, since it is smaller than the sum of its proper divisors (2578078912).

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

1351616000 is an frugal number, since it uses more digits than its factorization.

1351616000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 1351616000 is about 36764.3305392605. The cubic root of 1351616000 is about 1105.6502659627.

Adding to 1351616000 its reverse (6161531), we get a palindrome (1357777531).

The spelling of 1351616000 in words is "one billion, three hundred fifty-one million, six hundred sixteen thousand".