1351263200 has 108 divisors (see below), whose sum is σ = 3837457512. Its totient is φ = 463276800.

The previous prime is 1351263197. The next prime is 1351263203. The reversal of 1351263200 is 23621531.

It is an interprime number because it is at equal distance from previous prime (1351263197) and next prime (1351263203).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1351263203) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 21965 + ... + 56435.

It is an arithmetic number, because the mean of its divisors is an integer number (35532014).

Almost surely, 2^1351263200 is an apocalyptic number.

1351263200 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 1351263200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1918728756).

1351263200 is an abundant number, since it is smaller than the sum of its proper divisors (2486194312).

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

1351263200 is a wasteful number, since it uses less digits than its factorization.

1351263200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34505 (or 34485 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 1351263200 is about 36759.5320971309. The cubic root of 1351263200 is about 1105.5540583224.

Adding to 1351263200 its reverse (23621531), we get a palindrome (1374884731).

The spelling of 1351263200 in words is "one billion, three hundred fifty-one million, two hundred sixty-three thousand, two hundred".