1351057000 has 64 divisors (see below), whose sum is σ = 3167845200. Its totient is φ = 539334400.

The previous prime is 1351056937. The next prime is 1351057003. The reversal of 1351057000 is 7501531.

It can be written as a sum of positive squares in 8 ways, for example, as 30316036 + 1320740964 = 5506^2 + 36342^2 .

It is not an unprimeable number, because it can be changed into a prime (1351057003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 651966 + ... + 654034.

Almost surely, 2^1351057000 is an apocalyptic number.

1351057000 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 1351057000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1583922600).

1351057000 is an abundant number, since it is smaller than the sum of its proper divisors (1816788200).

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

1351057000 is a wasteful number, since it uses less digits than its factorization.

1351057000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2743 (or 2729 counting only the distinct ones).

The product of its (nonzero) digits is 525, while the sum is 22.

The square root of 1351057000 is about 36756.7272754254. The cubic root of 1351057000 is about 1105.4978203658.

Adding to 1351057000 its reverse (7501531), we get a palindrome (1358558531).

The spelling of 1351057000 in words is "one billion, three hundred fifty-one million, fifty-seven thousand".